Proposition of New Translation Rule in Kinematic Hardening

Abstract

The translation rule in the so-called kinematic hardening model with respect to elasto-plastic constitutive relations of metal is investigated. The representative translation rules of Prager's and Ziegler's type and of the stress increment type and of the stress increment type which was proposed by the author in the past are pointed out to have some limits in their applicabilities with respect to an accuracy of analysis. A new translation rule of an integral type with respect to the pre-loading paths is proposed. The newly-proposed translation rule was applied to the ratcheting deformation analysis with a yield function of Mises' type. There is a good agreement between the calculated results and the experimental ones. It is confirmed that by using the new translation rule, some complex deformation analysis like the ratcheting deformation analysis can be simply and precisely performed.